Let us consider a polymer in a three-dimensional Euclidean space \(\mathbb {R}^{3}\)  as a space curve \(\gamma \) , \({\bf R}:I\subset \mathbb {R}\rightarrow \mathbb {R}^{3}\) , parametrized by an arc-length, \(s\) . For each point \(s\in I\) , a Frenet-Serret trihedron can be defined in terms of the vector basis \(\lbrace {\bf T}(s), {\bf N}(s), {\bf B}(s)\rbrace \) , where \({\bf T}(s)=d{\bf R}/ds\)  is the tangent vector, whereas \({\bf N}(s)\)  and \({\bf B}(s)\)  are the normal and bi-normal vector, respectively. It is well known that each regular curve \(\gamma \)  satisfies the Frenet-Serret structure equations, namely, \(d{\bf T}/ds=\kappa (s){\bf N}\) , \(d{\bf N}/ds=-\kappa (s) {\bf T}-\tau (s) {\bf B}\)  and \(d{\bf B}/ds=\tau (s){\bf N}\) , where \(\kappa (s)\)  and \(\tau (s)\) 
are the curvature and the torsion of the space curve. In addition, the fundamental theorem of space curves estates that given continuous functions \(\kappa (s)\)  and \(\tau (s)\)  one can determine the shape curve uniquely, up to a Euclidean rigid motion [1]}.
